论文信息 - A comparison of acceleration procedures for the two-dimensional periodic Green's function

A comparison of acceleration procedures for the two-dimensional periodic Green's function

Alternate acceleration procedures are evaluated for the two-dimensional free-space periodic Green's function. Two of these techniques yield exponential convergence rates and are preferable if high accuracies are required. Numerical aspects of these procedures are described.

Andrew F. Peterson | A. W. Mathis | A. Peterson | A. Mathis

[1] Raj Mittra,et al. Efficient calculation of the free-space periodic Green's function , 1990 .

[2] K. E. Jordan,et al. An efficient numerical evaluation of the Green's function for the Helmholtz operator on periodic structures , 1986 .

[3] P. P. Ewald. Die Berechnung optischer und elektrostatischer Gitterpotentiale , 1921 .

[4] P. Klock,et al. Integral Transforms Useful for the Accelerated Summation of Periodic, Free-Space Green's Functions (Short Paper) , 1985 .

[5] G. P. M. Poppe,et al. More efficient computation of the complex error function , 1990, TOMS.

[6] G. P. M. Poppe,et al. Algorithm 680: evaluation of the complex error function , 1990, TOMS.

[7] W. Cody,et al. Rational Chebyshev approximations for the error function , 1969 .

[8] Walter Gautschi,et al. Efficient computation of the complex error function , 1970 .

[9] D. Wilton,et al. Accelerating the convergence of series representing the free space periodic Green's function , 1990 .

[10] J. Gillis,et al. Integrals of Bessel Functions , 1963 .